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6\sqrt{2}x=7+1
Add 1 to both sides.
6\sqrt{2}x=8
Add 7 and 1 to get 8.
\frac{6\sqrt{2}x}{6\sqrt{2}}=\frac{8}{6\sqrt{2}}
Divide both sides by 6\sqrt{2}.
x=\frac{8}{6\sqrt{2}}
Dividing by 6\sqrt{2} undoes the multiplication by 6\sqrt{2}.
x=\frac{2\sqrt{2}}{3}
Divide 8 by 6\sqrt{2}.